15 POINTS HELPA woodland jumping mouse hops along the ground along a parabolic path that can be modeled by the following equation: y = −0.2x2+1.3x (where x is the horizontal position in feet and y is the height in feet). What is the maximum height the mouse can jump?
Accepted Solution
A:
Answer: 2.1125 feet Step-by-step explanation:the vertex will be the maximum value of this parabola. the general form for a quadratic equation is: ax² + bx + c, for this equation,a = -0.2, b = 1.3, and c = 0find the vertex by first using the formula x = -b/(2a)x = -1.3/(2*-0.2) x = -1.3/-0.4 x = 3.25Now plug in that x value to find the actual maximum heighty = -0.2(3.25)² + 1.3(3.25) y = -0.2(10.5625) + 4.225 y = -2.1125 + 4.225 y = 2.1125 feet